Remarks on Ultrametrics and Metric-Preserving Functions
Functions whose composition with every metric is a metric are said to be metric-preserving. In this paper, we investigate a variation of the concept of metric-preserving functions where metrics are replaced by ultrametrics.
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/163258 |
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| _version_ | 1832567030257025024 |
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| author | Prapanpong Pongsriiam Imchit Termwuttipong |
| author_facet | Prapanpong Pongsriiam Imchit Termwuttipong |
| author_sort | Prapanpong Pongsriiam |
| collection | DOAJ |
| description | Functions whose composition with every metric is a metric are said to be metric-preserving. In this paper, we investigate a variation of the concept of metric-preserving functions where metrics are replaced by ultrametrics. |
| format | Article |
| id | doaj-art-45b156d8163a49f0b506ac91633803ce |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-45b156d8163a49f0b506ac91633803ce2025-02-03T01:02:32ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/163258163258Remarks on Ultrametrics and Metric-Preserving FunctionsPrapanpong Pongsriiam0Imchit Termwuttipong1Department of Mathematics, Faculty of Science, Silpakorn University, Nakhon Pathom 73000, ThailandDepartment of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330, ThailandFunctions whose composition with every metric is a metric are said to be metric-preserving. In this paper, we investigate a variation of the concept of metric-preserving functions where metrics are replaced by ultrametrics.http://dx.doi.org/10.1155/2014/163258 |
| spellingShingle | Prapanpong Pongsriiam Imchit Termwuttipong Remarks on Ultrametrics and Metric-Preserving Functions Abstract and Applied Analysis |
| title | Remarks on Ultrametrics and Metric-Preserving Functions |
| title_full | Remarks on Ultrametrics and Metric-Preserving Functions |
| title_fullStr | Remarks on Ultrametrics and Metric-Preserving Functions |
| title_full_unstemmed | Remarks on Ultrametrics and Metric-Preserving Functions |
| title_short | Remarks on Ultrametrics and Metric-Preserving Functions |
| title_sort | remarks on ultrametrics and metric preserving functions |
| url | http://dx.doi.org/10.1155/2014/163258 |
| work_keys_str_mv | AT prapanpongpongsriiam remarksonultrametricsandmetricpreservingfunctions AT imchittermwuttipong remarksonultrametricsandmetricpreservingfunctions |